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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 798 · 40 sums
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The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of 5³ × 5⁻²? =
  2. 2.Write 7² × 7² as a single power 7ⁿ. What is n?
  3. 3.What is the value of 7⁻³ (as a fraction)? =
  4. 4.9 × 10⁵ =
  5. 5.Write (6⁸)⁹ as a single power 6ⁿ. What is n?
  6. 6.What is the value of (1/8)⁻¹? =
  7. 7.What is the value of 4⁻⁴ (as a fraction)? =
  8. 8.8.9 × 10⁴ =
  9. 9.6.2 × 10² =
  10. 10.What is the value of 5³? =
  11. 11.Write (7²)³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 9⁻² (as a fraction)? =
  13. 13.What is the value of 2⁻¹ (as a fraction)? =
  14. 14.Write 6,00,00,000 in standard form as 6 × 10ⁿ. What is n?
  15. 15.Write 8,20,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  16. 16.What is the value of 3¹ × 3⁻⁵? =
  17. 17.3.5 × 10⁵ =
  18. 18.What is the value of 2⁵ × 2⁻²? =
  19. 19.What is the value of (2/5)⁻²? =
  20. 20.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 3⁴? =
  22. 22.Write 3¹¹ ÷ 3⁸ as a single power 3ⁿ. What is n?
  23. 23.What is the value of 3³? =
  24. 24.What is the value of 3⁶ × 3⁻²? =
  25. 25.What is the value of 7³? =
  26. 26.What is the value of 9⁵? =
  27. 27.Write 5¹¹ ÷ 5⁹ as a single power 5ⁿ. What is n?
  28. 28.Write 8 × 10⁻⁴ as a decimal. =
  29. 29.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  30. 30.Write 9⁸ ÷ 9³ as a single power 9ⁿ. What is n?
  31. 31.Write (8⁷)⁹ as a single power 8ⁿ. What is n?
  32. 32.3 × 10³ =
  33. 33.What is the value of 3⁹? =
  34. 34.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
  35. 35.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  36. 36.Write 3⁴ × 3² as a single power 3ⁿ. What is n?
  37. 37.Write 5⁷ × 5⁶ as a single power 5ⁿ. What is n?
  38. 38.What is the value of (1/2)⁻²? =
  39. 39.Write 2⁸ ÷ 2⁵ as a single power 2ⁿ. What is n?
  40. 40.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?

Answer key

  1. 5
  2. 4
  3. 1/343
  4. 900000
  5. 72
  6. 8
  7. 1/256
  8. 89000
  9. 620
  10. 125
  11. 6
  12. 1/81
  13. 1/2
  14. 7
  15. 7
  16. 1/81
  17. 350000
  18. 8
  19. 25/4
  20. 8
  21. 81
  22. 3
  23. 27
  24. 81
  25. 343
  26. 59049
  27. 2
  28. 0.0008
  29. 2
  30. 5
  31. 63
  32. 3000
  33. 19683
  34. 3
  35. 6
  36. 6
  37. 13
  38. 4
  39. 3
  40. 5

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